基于直觉模糊集逼近理想点法的膨胀土胀缩等级分类研究  

Approach to the gradation of the contraction and expansion of the expansive soils based on the intuitionistic fuzzy set TOPSIS

作　　者：邬书良[1,2] 杨珊 黄温钢[1] WU Shu-liang;YANG-Shan;HUANG Wen-gang(School 'of Earth Sciences,East China University of Technology,Nanchang 330013,China;Key Laboratory for Digital Land and Resources of Jiangxi Province,East China University of Technology,Nanchang 330013,China;School of Resources and Safety Engineering,Central South University,Changsha 410083,China)

机构地区：[1]东华理工大学地球科学学院,南昌330013 [2]东华理工大学江西省数字国土重点实验室,南昌330013 [3]中南大学资源与安全工程学院,长沙410083

出　　处：《安全与环境学报》2018年第6期2214-2218,共5页Journal of Safety and Environment

基　　金：江西省教育厅科学技术研究项目(GJJ170466);国家自然科学基金青年科学基金项目(51404305);东华理工大学江西省数字国土重点实验室开放研究基金项目(DLLJ201706);东华理工大学博士科研启动基金项目(DHBK2016125);东华理工大学校级教改课题(1310100334)

摘　　要：为了对膨胀土胀缩等级进行正确分类,提出直觉模糊集逼近理想点法(TOPSIS)的膨胀土胀缩等级分类模型。综合考虑影响膨胀土胀缩等级的因素,选取液限、胀缩总率、塑性指数、自由膨胀率4个因素作为膨胀土胀缩等级分类的评价指标。鉴于指标权重具有模糊性且难以准确确定,将指标权重用直觉模糊集表示,并利用直觉模糊集TOPSIS对膨胀土胀缩等级进行分类。将该模型用于15个实际膨胀土样本的胀缩等级分类,并将分类结果与其他5种方法的分类结果进行对比。结果表明,直觉模糊集TOPSIS对膨胀土胀缩等级的分类结果与其他5种方法的分类结果相吻合,可为膨胀土胀缩等级分类提供新方法和思路。In order to classify the contraction and expansion grades of the expansive soils,the present paper has proposed a classification model for the grades of the contraction and expansion of the expansive soils based on the intuitionistic fuzzy set modes in the order preference through the similarity categorization to the ideal solution.For the above mentioned purpose,we have chosen such 4 indexes,that is,the liquid limit,the swelling force,the plasticity index,and the free swelling ratio of the expansive soil,as the evaluation indicators for classifying the grades of the contraction and expansion with the expansive soils as a result of the comprehensive profound consideration of the indicators likely to control the grades of the chang for the said soil.Since the index weights are fuzzy by nature and not easy to make properly fixed,it would be necessary to choose the intuitionistic fuzzy indexical model to represent them and classify the grades of contraction and expansion to describe such - like expansive soils known as the TOPSIS,which can be adopted to classify the 15 grades of contraction and expansion of the expansive soils.In so doing,first of all,it is necessary to assign the membership degrees of the classification standard,so as to formulate the intuitionistic fuzzy set matrix of the samples.And,then,according to the weight range of the indexical system,it would be possible to work out the index weights for the intuitionistic fuzzy set.And,eventually,it can be expected to get the classification results of the target samples according to the intuitionistic fuzzy set weight decision matrix.And,afterwards,comparing the results from the said intuitionistic fuzzy set TOPSIS with the other 5 classification methods,it would be possible for us to find that the classification results of the 11 chosen samples are exactly the same,with the other 4 samples being classified into 2 adjacent grades,for the 4 samples can be found of the 2 different levels.Thus,the results would demonstrate that the results gained by using th

关 键 词：安全工程 膨胀土 胀缩等级 直觉模糊集 逼近理想点 指标权重 

分 类 号：X935[环境科学与工程—安全科学]